Lemma 26.7.5. Let $(X, \mathcal{O}_ X) = (\mathop{\mathrm{Spec}}(R), \mathcal{O}_{\mathop{\mathrm{Spec}}(R)})$ be an affine scheme. The functors $M \mapsto \widetilde M$ and $\mathcal{F} \mapsto \Gamma (X, \mathcal{F})$ define quasi-inverse equivalences of categories

between the category of quasi-coherent $\mathcal{O}_ X$-modules and the category of $R$-modules.

## Comments (2)

Comment #427 by Jeroen Zuiddam on

Comment #428 by Johan on

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